Question

What is the prime factorisation of 82?

Answer 1

Hint: We know that prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. By using this method, we have to find the prime factorisation of 82.

Complete step-by-step answer:
From the question, we were given to prime factorise 82.
We know that prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers.
First of all, we have to find the factors by using prime factorisation. Now we have to check whether they are prime or not.
So, from the definition it is clear that we have to find prime factors of 82.
$$\begin{array}{rl}& 2|\underset{―}{82}\\ & 1|\underset{―}{41}\end{array}$$
So, it is clear that 1, 41 and 82 are the factors of 82.
We know that 1, 41 and 82 are prime numbers.
So, we can say that 1, 41 and 82 are prime factors of 82.

Note: Students may have a confusion between prime numbers and composite numbers. A prime number will have only two factors i.e. 1 and itself where as the composite umber will have more than 2 factors. Students may have a calculation mistake while solving this problem. If a small mistake is done, then the final answer may get interrupted. So, these mistakes should be avoided while solving the problem.